An efficient closed-form design method for cosine-modulated filter banks using window functions

An efficient closed-form method for designing M-channel cosine-modulated filter banks with prescribed stopband attenuation and channel overlap is proposed. The method employs the window technique for the prototype filter design and is based on empirical formulas that give the filter length and the window parameters that would satisfy the prescribed specifications. When compared with iterative methods, the proposed method significantly reduces the computational cost associated with the design making it a suitable candidate for applications where the design must be carried out in real or quasi-real time. Applications of the proposed method in the area of subband processing of speech, audio, and ECG signals are considered.

[1]  A. Antoniou.  Digital Signal Processing: Signals, Systems, and Filters , 2005 .

[2]  H V Huikuri,et al.  Sex-related differences in autonomic modulation of heart rate in middle-aged subjects. , 1996, Circulation.

[3]  W.J. Tompkins,et al.  ECG beat detection using filter banks , 1999, IEEE Transactions on Biomedical Engineering.

[4]  H. Koymen,et al.  ECG data compression by sub-band coding , 1991 .

[5]  Ali N. Akansu,et al.  Wavelet, Subband, and Block Transforms in Communications and Multimedia , 1999 .

[6]  A. Kadish,et al.  Effects of Gender on Cardiac Arrhythmias , 1998, Journal of cardiovascular electrophysiology.

[7]  Sanjit K. Mitra,et al.  A simple method for designing high-quality prototype filters for M-band pseudo QMF banks , 1995, IEEE Trans. Signal Process..

[8]  H. Koymen,et al.  Multichannel ECG data compression by multirate signal processing and transform domain coding techniques , 1993, IEEE Transactions on Biomedical Engineering.

[9]  G. Taylor,et al.  150 Practice ECGs: Interpretation and Review , 2002 .

[10]  P. Laguna,et al.  Signal Processing , 2002, Yearbook of Medical Informatics.

[11]  S. Merrill Weiss.  MPEG Audio Coding , 1996 .

[12]  Truong Q. Nguyen,et al.  Comparing stress ECG enhancement algorithms , 1996 .

[13]  R. Fletcher.  Practical Methods of Optimization , 1988 .

[14]  John Watkinson.  Mpeg 2 , 1999 .

[15]  Willis J. Tompkins,et al.  Biomedical Digital Signal Processing: C Language Examples and Laboratory Experiments for the IBM PC , 1993 .

[16]  P. P. Vaidyanathan,et al.  A Kaiser window approach for the design of prototype filters of cosine modulated filterbanks , 1998, IEEE Signal Processing Letters.

[17]  Saturnino Maldonado-Bascón,et al.  An efficient and simple method for designing prototype filters for cosine-modulated pseudo-QMF banks , 2002, IEEE Signal Processing Letters.

[18]  Karlheinz Brandenburg,et al.  Near-lossless coding of high quality digital audio: first results , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[19]  T. Saramaki.  A class of window functions with nearly minimum sidelobe energy for designing FIR filters , 1989, IEEE International Symposium on Circuits and Systems,.

[20]  W. A. Coberly,et al.  ECG data compression techniques-a unified approach , 1990, IEEE Transactions on Biomedical Engineering.

[21]  A. Spanias,et al.  Perceptual coding of digital audio , 2000, Proceedings of the IEEE.

[22]  Information technology — Generic coding of moving pictures and associated audio information — Part 2 : Video Technologies , 2022 .

[23]  Jelena Kovacevic,et al.  Wavelets and Subband Coding , 2013, Prentice Hall Signal Processing Series.

[24]  James David Johnston.  Audio Coding with Filter Banks , 1996 .

[25]  P. Vaidyanathan.  Multirate Systems And Filter Banks , 1992 .

[26]  Andreas Antoniou,et al.  Design of Nonrecursive Digital Filters Using the Ultraspherical Window Function , 2005, EURASIP J. Adv. Signal Process..

[27]  Mark J. T. Smith,et al.  Subband and Wavelet Transforms , 1996 .

[28]  Comparing Stress ECG Enhancement Algorithms With an introduction to a filter bank based approach , 2004 .

[29]  G.B. Moody,et al.  The impact of the MIT-BIH Arrhythmia Database , 2001, IEEE Engineering in Medicine and Biology Magazine.